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Finding the Fourth Proportional to 6,457.17, 9,683.64 and 2,073.60

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Solution

The fourth proportional to 6,457.17, 9,683.64 and 2,073.60 is: 3,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.17 : 9,683.64 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    6,457.17/9,683.64 = 2,073.60/x
  3. Step 3: Cross multiply
    6,457.17x = 9,683.64 × 2,073.60
  4. Step 4: Simplify right side
    6,457.17x = 20,079,995.90
  5. Step 5: Solve for x
    x = 20,079,995.90/6,457.17
  6. Step 6: Final answer
    x = 3,109.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.